{"id":"vidhyamitra:city-day:varanasi:2091-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2091-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-01-03","date_display":"January 3, 2091 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2091,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484784.770833,"kali_year":5192,"ahargana":1896319.2708,"sun":{"sidereal_longitude":257.3205,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":44.3519,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.0314,"elapsed_within_tithi_degrees":3.0314},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.3519,"elapsed_within_degrees":4.3519},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.6724},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2091,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484784.770833,"ahargana":1896319.2708,"kali_year":5192,"ayanamsa_lahiri":25.1243,"grahas":{"sun":{"sidereal_longitude":257.75970699999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":45.358407,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.4378},"mars":{"sidereal_longitude":146.48800700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":237.71270700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":247.83450700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":210.588707,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":54.43090699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":143.8793,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":323.8793,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2091,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484784.770833,"kali_year":5192,"ahargana":1896319.2708,"sun":{"sidereal_longitude":257.3205,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":44.3519,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.0314,"elapsed_within_tithi_degrees":3.0314},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.3519,"elapsed_within_degrees":4.3519},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.6724},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.438,"elongation":147.031},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.438,"opposition_distance":32.969}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:45","sunsetLocal":"17:21","solarNoonLocal":"12:03","dayLengthHours":10.605426263971815,"dayLengthDisplay":"10 Hours 36 Mins 20 Secs","nightLengthDisplay":"13 Hours 23 Mins 40 Secs","moonriseLocal":"15:06","moonsetLocal":"04:40","rahuKala":{"name":"Rāhu Kāla","start":"12:03","end":"13:22","startHours":12.044897013844302,"endHours":13.37057529684078,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:04","end":"09:24","startHours":8.067862164854873,"endHours":9.39354044785135,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:03","startHours":10.719218730847826,"endHours":12.044897013844302,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:34","startHours":9.21678334345182,"endHours":9.57029755225088,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:11","end":"07:28","startHours":7.184076642857222,"endHours":7.46688800989647,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:24","startHours":11.691382805045242,"endHours":12.398411222643363,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:02","startHours":5.3281270466621535,"endHours":6.035155464260275,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:45","startHours":5.858398359860745,"endHours":6.742183881858396,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:31","startHours":13.812468057839606,"endHours":14.519496475437727,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.14761014583021,"endHours":17.54761014583021,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.34761014583021,"endHours":17.789502906829036,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.09761014583021,"endHours":18.84761014583021,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:24","startHours":23.69138280504524,"endHours":24.398411222643364,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:45","end":"08:04","startHours":6.742183881858396,"endHours":8.067862164854873,"quality":"auspicious"},{"name":"Amṛta","start":"08:04","end":"09:24","startHours":8.067862164854873,"endHours":9.39354044785135,"quality":"auspicious"},{"name":"Kāla","start":"09:24","end":"10:43","startHours":9.39354044785135,"endHours":10.719218730847826,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:03","startHours":10.719218730847826,"endHours":12.044897013844302,"quality":"auspicious"},{"name":"Roga","start":"12:03","end":"13:22","startHours":12.044897013844302,"endHours":13.37057529684078,"quality":"inauspicious"},{"name":"Udveg","start":"13:22","end":"14:42","startHours":13.37057529684078,"endHours":14.696253579837258,"quality":"inauspicious"},{"name":"Chala","start":"14:42","end":"16:01","startHours":14.696253579837258,"endHours":16.021931862833732,"quality":"neutral"},{"name":"Labha","start":"16:01","end":"17:21","startHours":16.021931862833732,"endHours":17.34761014583021,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:21","end":"19:01","startHours":17.34761014583021,"endHours":19.021931862833732,"quality":"inauspicious"},{"name":"Chala","start":"19:01","end":"20:42","startHours":19.021931862833732,"endHours":20.696253579837254,"quality":"neutral"},{"name":"Labha","start":"20:42","end":"22:22","startHours":20.696253579837254,"endHours":22.37057529684078,"quality":"auspicious"},{"name":"Amṛta","start":"22:22","end":"00:03","startHours":22.37057529684078,"endHours":24.044897013844302,"quality":"auspicious"},{"name":"Kāla","start":"00:03","end":"01:43","startHours":24.044897013844302,"endHours":25.719218730847825,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:24","startHours":25.719218730847825,"endHours":27.39354044785135,"quality":"auspicious"},{"name":"Roga","start":"03:24","end":"05:04","startHours":27.39354044785135,"endHours":29.067862164854873,"quality":"inauspicious"},{"name":"Udveg","start":"05:04","end":"06:45","startHours":29.067862164854873,"endHours":30.742183881858395,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.742183881858396,"endHours":7.742183881858396,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.742183881858396,"endHours":8.742183881858395,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.742183881858395,"endHours":9.742183881858395,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.742183881858395,"endHours":10.742183881858395,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.742183881858395,"endHours":11.742183881858395,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.742183881858395,"endHours":12.742183881858395,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.742183881858395,"endHours":13.742183881858395,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.742183881858395,"endHours":14.742183881858395,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.742183881858395,"endHours":15.742183881858395,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.742183881858395,"endHours":16.742183881858395,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.742183881858395,"endHours":17.742183881858395,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.742183881858395,"endHours":18.742183881858395,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.742183881858395,"endHours":19.742183881858395,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.742183881858395,"endHours":20.742183881858395,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.742183881858395,"endHours":21.742183881858395,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.742183881858395,"endHours":22.742183881858395,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.742183881858395,"endHours":23.742183881858395,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.742183881858395,"endHours":24.742183881858395,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.742183881858395,"endHours":25.742183881858395,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.742183881858395,"endHours":26.742183881858395,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.742183881858395,"endHours":27.742183881858395,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.742183881858395,"endHours":28.742183881858395,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.742183881858395,"endHours":29.742183881858395,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.742183881858395,"endHours":30.742183881858395,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.812639370801268,"eotMinutes":-4.589420830658165,"ayanamsa":25.1243}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 2091 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 3, 2091 CE for Vārāṇasī (Kāśī): Śukla Trayodaśī, sūryodaya 06:45, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2091-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2091-01-03","sa":"https://sa.vidhyamitra.com/city/varanasi/2091-01-03","hi":"https://hi.vidhyamitra.com/city/varanasi/2091-01-03","x-default":"https://vidhyamitra.com/city/varanasi/2091-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:14:45.775Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T12:14:45.775Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:14:45.775Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}